Study of a quantum scattering process by means of entropic measures

In this Letter, a scattering process of quantum particles through a potential barrier is considered. The statistical complexity and the Fisher–Shannon information are calculated for this problem. The behaviour of these entropy-information measures as a function of the energy of the incident particles is compared with the behaviour of a physical magnitude, the reflection coefficient in the barrier. We find that these statistical magnitudes present their minimum values in the same situations in which the reflection coefficient is null. These are the situations where the total transmission through the barrier is achieved, the transparency points, a typical phenomenon due to the quantum nature of the system.